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Finding the Fourth Proportional to 9,002.96, 12,425.64 and 6,642.08

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Solution

The fourth proportional to 9,002.96, 12,425.64 and 6,642.08 is: 9,167.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.96 : 12,425.64 = 6,642.08 : x
  2. Step 2: Convert to fraction form
    9,002.96/12,425.64 = 6,642.08/x
  3. Step 3: Cross multiply
    9,002.96x = 12,425.64 × 6,642.08
  4. Step 4: Simplify right side
    9,002.96x = 82,532,094.93
  5. Step 5: Solve for x
    x = 82,532,094.93/9,002.96
  6. Step 6: Final answer
    x = 9,167.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.